向量拟平衡问题系统解集的强本质集及应用  

Strong Essential Sets for the System of Vector Quasi-Equilibrium Problems with Application

作　　者：宋奇庆[1] 林亮[1] 张志平[2] 

机构地区：[1]桂林工学院数理系,广西桂林541004 [2]西华师范大学数学与信息学院,四川南充637002

出　　处：《桂林工学院学报》2008年第3期434-437,共4页Journal of Guilin University of Technology

基　　金：广西教育厅科研项目(200702LX215);桂林工学院硕士基金(006011361)

摘　　要：研究了向量拟平衡问题系统解的存在性,然后引入解集的强本质性概念,得到了强本质集的存在性,作为应用引入多目标广义对策的解集中较本质性更稳定的强本质弱Pareto-Nash平衡点集并导出其存在性。In this paper, the system of vector quasi-equilibrium is studied and its solution is proved. Conse- quently, the existence of strong essential sets for its solution sets are obtained by a notion about, strong essential sets. In application, the existence of strong essential weakly Pareto-Nash equilibrium is derived with a stronger stability notion than essential weak Pareto-Nash equilibrium.

关 键 词：向量拟平衡问题 强本质集 弱Pareto—Nash平衡点 

分 类 号：O177.91[理学—数学]